Information on Result #871225
Linear OOA(32101, 545, F32, 2, 41) (dual of [(545, 2), 989, 42]-NRT-code), using OOA 2-folding based on linear OA(32101, 1090, F32, 41) (dual of [1090, 989, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(32101, 1091, F32, 41) (dual of [1091, 990, 42]-code), using
- (u, u+v)-construction [i] based on
- linear OA(3223, 64, F32, 20) (dual of [64, 41, 21]-code), using
- extended algebraic-geometric code AGe(F,43P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3278, 1027, F32, 41) (dual of [1027, 949, 42]-code), using
- construction XX applied to C1 = C([1022,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([1022,39]) [i] based on
- linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3274, 1023, F32, 39) (dual of [1023, 949, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([1022,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([1022,39]) [i] based on
- linear OA(3223, 64, F32, 20) (dual of [64, 41, 21]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.